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Finding the Third Proportional to 432,594 and 645,306.75

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Solution

The third proportional to 432,594 and 645,306.75 is: 962,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,594 : 645,306.75 = 645,306.75 : x
  2. Step 2: Convert to fraction form
    432,594/645,306.75 = 645,306.75/x
  3. Step 3: Cross multiply
    432,594x = 645,306.75 × 645,306.75
  4. Step 4: Simplify right side
    432,594x = 416,420,801,595.56
  5. Step 5: Solve for x
    x = 416,420,801,595.56/432,594
  6. Step 6: Final answer
    x = 962,613.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.